Name:__________________ Block: ______ Date:__________ #1-4: Use the given diagram to answer the following questions. A Parallel B Perpendicular _______ 1. Classify the lines FE C Skew D None of these and DG . _______ 2. Classify the lines AD and BC . _______ 3. Classify the lines AD and EH . _______ 4. Classify the lines AD and DC . #5- 8: Use the diagram for the following questions. _______ 5. 4 and _____ are corresponding angles. A 7 B 5 C 3 D 8 _______ 6. 3 and _____ are consecutive interior angles. A 8 B 5 C 6 D 3 _______ 7. 3 and 6 are __________ angles. A consecutive interior C corresponding B alternate interior D vertical _______ 8. 6 and 7 are __________ angles. A vertical B consecutive interior C corresponding D alternate interior _______ 9. In the diagram l m , find the _______ 10. In the diagram l m , find the value of x. A B C D value of x. 138° 128° 118° 62° A B C D 122° 68° 58° 48° #11-14: Answer each question, SHOW ALL WORK, and justify your work by stating the postulate or theorem that allowed you to set up an equation. _______ 11. In the diagram l m , find the value of x. A 9.5 C 33 B 76 D 10.75 reason:____________________________ _______ 12. In the diagram find the value of x that would make l m . A 65 C 22.5 B 45 D 60 reason:____________________________ _______ 13. In the diagram l m , find the value of x. A 35 C 105 B 25 D 125 reason:____________________________ _______ 14. In the diagram find the value of x that would make l m . A 21 C 41 B 24 D 96 reason:____________________________ #15-18: Short Answer- Show all work and circle your final answer. 15. Find the slope of the line that passes through 2, 2 and 6, 6 . 17. Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent. A(0, 4), B(6, 4), C(6, 6), D(6, –2); AB and CD 16. Given that line 1 passes through (-2, 1) and (1, -1) and line 2 passes through (1, 3) and (4, 1). Determine if the lines are parallel, perpendicular, or neither. 18. Find the length of the segment. Round to the nearest tenth of a unit. #19 & 20 Find the coordinates of the midpoint of the segment with the given endpoints. 19. A(6, 3) and B(10, 5) 20. M(14, 7) and N(9, 1) #21 & 22 Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. 21. R(8, 0), M(4, 5) 22. R(7, 17), M(2, 3) 23. Find the value of x and y and explain your reasoning. (2x+20)° (3x)° (5y)° k c 24. Is it possible to prove that line c is parallel to line d? _________ How do you know? ________________________ d 25.) In the diagram, AB BC . Find the value of x. 26.) Find the measure of the indicated angles. m1 ________ m2 ________ m3 ________ m4 ________ m5 ________ m6 _______ x = __________ Q 27.) Supply the reasons to complete this proof. T R S Given: RQT and QTS are supplementary TSV and SVU are supplementary U Prove: QR UV Statements Reasons 1. RQT and QTS are supplementary 1. 2. QR 2. TS 3. TSV and SVU are supplementary 3. 4. TS UV 4. 5. QR UV 5. V